For a set of five whole numbers, the mean is 4, the mode is 1, and the median is 5. what are the five numbers? plz me plz

Mean is the average, mode is the number that is repeated most often and the median is the middle number.  We know there are 5 numbers so, 5 is the middle as it is the median #. The mode has to appear more than once or 5 would also be a mode.
1 1 5 _ _  
M = 1+1+5+x+y /5
4 = 1+1+5+x+y/ 5
4 = 7+x+y / 5
Average of 5 numbers is 4 therefore 4 times 5 = 20
20-7 = 13, what two numbers that are more than 5 equal 13?  Only 6 &7.
4 = 1+1+5+6+7 / 5